Question

estimate the cube root 110
step by step explanation​

Answer 1

Answer:

Cube root of 110 can be represented as 3√110. The value of cube root of one is 110. The nearest previous perfect cube is 64 and the nearest next perfect cube is 125

Step-by-step explanation:

❥︎HEY DEAR HERE IS UR ANSWER❤︎

❥︎PLZ LIKE MY ANSWER AND MARK ME AS BRILLIANT❤︎

❥︎BYE TC HAVE A GREAT DAY❤︎

Answer 2

We can approximate the value using linear approximation,

To estimate 110−−−√31103,

Find the nearest perfect cube root, which in this case is 125−−−√3=51253=5

The slope for the cube root function x−−√3x3 is x−2/33x−2/33; the slope at x=5x=5 is m=175m=175

Now using y−y1=m(x−x1)y−y1=m(x−x1), we get y−5=175(110−125)⟹y=5−1575⟹y=5−0.2=4.8y−5=175(110−125)⟹y=5−1575⟹y=5−0.2=4.8

Let check how close the approximation is 4.83=110.5924.83=110.592

And

110−−−√3=4.79141103=4.7914.